Multidimensional solitons and their spectral transforms

DOI10.1063/1.529013zbMath0726.35112OpenAlexW2079688457MaRDI QIDQ3350041

M. Boiti, J. P. Leon, F. Pempinelli

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529013

zbMATH Keywords

Zakharov-Shabat spectral problem

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items

New features of soliton dynamics in 2+1 dimensions, Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation, Remarks on matrix hierarchies, d bar dressing, and the spectral transform, Soliton solutions of the Hamiltonian DSI and DSIII equations, Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\), A useful auxiliary linear system for a Davey-Stewartson hierarchy, New rational homoclinic and rogue waves for Davey-Stewartson equation, CLASSIFICATION OF ALL ENVELOPE TRAVELING WAVE SOLUTIONS TO (2+1)-DIMENSIONAL DAVEY–STEWARTSON EQUATION, Qualitative analysis and explicit traveling wave solutions for the Davey–Stewartson equation, Dromion solutions of PT-symmetric \((x,y)\)-nonlocal Davey-Stewartson I equation, Solutions of the Davey-Stewartson equation with non-zero boundary condition, Unnamed Item, \(D\) bar dressing and Sato theory, Multidimensional localized solitons.

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